A proof–theoretic study of the correspondence of hybrid logic and classical logic

Abstract
In this paper, we show the equivalence between the provability of a proof system of basic hybrid logic and that of translated formulas of the classical predicate logic with equality and explicit substitution by a purely proof–theoretic method. Then we show the equivalence of two groups of proof systems of hybrid logic: the group of labelled deduction systems and the group of modal logic-based systems.
Keywords Proof theory  Hybrid logic  Classical logic
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Reprint years 2007
DOI 10.1007/s10849-006-9023-0
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References found in this work BETA
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Proof Theory.Gaisi Takeuti - 1987 - Elsevier.
Hybrid Languages and Temporal Logic.P. Blackburn & M. Tzakova - 1999 - Logic Journal of the IGPL 7 (1):27-54.
Natural Deduction for First-Order Hybrid Logic.Torben BraÜner - 2005 - Journal of Logic, Language and Information 14 (2):173-198.

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